An open box with a square base is required to have a volume of 12 cubic feet. The amount of material A can be expressed as a function of the length x of a side of the square base: A(x) = x^2 + 48/x a) Use your calculator to graph the function. You'll need to adjust the window (does it make sense to have negative x-values ?). What is the minimum amount of material A that is required to make this box?
b) What is the length of the side of the square base when the amount of material is minimum?